21577889088 has 336 divisors, whose sum is σ = 72122019840. Its totient is φ = 6041198592.

The previous prime is 21577889071. The next prime is 21577889129. The reversal of 21577889088 is 88098877512.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56338945 + ... + 56339327.

Almost surely, 2^21577889088 is an apocalyptic number.

21577889088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21577889088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36061009920).

21577889088 is an abundant number, since it is smaller than the sum of its proper divisors (50544130752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21577889088 is a wasteful number, since it uses less digits than its factorization.

21577889088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 21577889088 in words is "twenty-one billion, five hundred seventy-seven million, eight hundred eighty-nine thousand, eighty-eight".